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Finding the Fourth Proportional to 203,837.20, 305,755.80 and 54,077.20

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Solution

The fourth proportional to 203,837.20, 305,755.80 and 54,077.20 is: 81,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,837.20 : 305,755.80 = 54,077.20 : x
  2. Step 2: Convert to fraction form
    203,837.20/305,755.80 = 54,077.20/x
  3. Step 3: Cross multiply
    203,837.20x = 305,755.80 × 54,077.20
  4. Step 4: Simplify right side
    203,837.20x = 16,534,417,547.76
  5. Step 5: Solve for x
    x = 16,534,417,547.76/203,837.20
  6. Step 6: Final answer
    x = 81,115.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.